Permutations And Combinations Question 18

Question: The number of ways in which the letters of the word TRIANGLE can be arranged such that two vowels do not occur together is

Options:

A) 1200

B) 2400

C) 14400

D) None of these

Show Answer

Answer:

Correct Answer: C

Solution:

  • $ \bullet T\bullet R\bullet N\bullet G\bullet L $ Three vowels can be arrange at 6 places in $ ^{6}P_3=120 $ ways. Hence the required number of arrangements $ =120\times 5\ !=14400 $ .